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Finding the Fourth Proportional to 512,790.46, 707,477.55 and 297,753.68

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Solution

The fourth proportional to 512,790.46, 707,477.55 and 297,753.68 is: 410,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,790.46 : 707,477.55 = 297,753.68 : x
  2. Step 2: Convert to fraction form
    512,790.46/707,477.55 = 297,753.68/x
  3. Step 3: Cross multiply
    512,790.46x = 707,477.55 × 297,753.68
  4. Step 4: Simplify right side
    512,790.46x = 210,654,044,029.88
  5. Step 5: Solve for x
    x = 210,654,044,029.88/512,790.46
  6. Step 6: Final answer
    x = 410,799.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.